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Finding the Fourth Proportional to 4,866.24, 6,715.64 and 2,742.65

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Solution

The fourth proportional to 4,866.24, 6,715.64 and 2,742.65 is: 3,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.24 : 6,715.64 = 2,742.65 : x
  2. Step 2: Convert to fraction form
    4,866.24/6,715.64 = 2,742.65/x
  3. Step 3: Cross multiply
    4,866.24x = 6,715.64 × 2,742.65
  4. Step 4: Simplify right side
    4,866.24x = 18,418,602.75
  5. Step 5: Solve for x
    x = 18,418,602.75/4,866.24
  6. Step 6: Final answer
    x = 3,784.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.